A combinatorial characterisation of d-Koszul and (D,A)-stacked monomial algebras that satisfy (Fg)
K-Theory and Homology
2023-10-25 v2 Rings and Algebras
Representation Theory
Abstract
Condition (Fg) was introduced in [6] to ensure that the theory of support varieties of a finite dimensional algebra, established by Snashall and Solberg, has some similar properties to that of a group algebra. In this paper we give some easy to check combinatorial conditions that are equivalent to (Fg) for monomial d-Koszul algebras. We then extend this to monomial (D, A)-stacked algebras. We also extend the description of the Yoneda algebra of a d-Koszul algebra in [11] to (D, A)-stacked monomial algebras.
Keywords
Cite
@article{arxiv.2301.05476,
title = {A combinatorial characterisation of d-Koszul and (D,A)-stacked monomial algebras that satisfy (Fg)},
author = {Ruaa Jawad and Nicole Snashall and Rachel Taillefer},
journal= {arXiv preprint arXiv:2301.05476},
year = {2023}
}
Comments
To appear in Publicacions Matem{\`a}tiques; final version before proofs